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Finding the Fourth Proportional to 4,208.64, 6,341.47 and 3,494.22

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Solution

The fourth proportional to 4,208.64, 6,341.47 and 3,494.22 is: 5,265.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,208.64 : 6,341.47 = 3,494.22 : x
  2. Step 2: Convert to fraction form
    4,208.64/6,341.47 = 3,494.22/x
  3. Step 3: Cross multiply
    4,208.64x = 6,341.47 × 3,494.22
  4. Step 4: Simplify right side
    4,208.64x = 22,158,491.30
  5. Step 5: Solve for x
    x = 22,158,491.30/4,208.64
  6. Step 6: Final answer
    x = 5,265.00

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.